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Finding the Third Proportional to 317,876.63 and 445,503.38

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Solution

The third proportional to 317,876.63 and 445,503.38 is: 624,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,876.63 : 445,503.38 = 445,503.38 : x
  2. Step 2: Convert to fraction form
    317,876.63/445,503.38 = 445,503.38/x
  3. Step 3: Cross multiply
    317,876.63x = 445,503.38 × 445,503.38
  4. Step 4: Simplify right side
    317,876.63x = 198,473,257,136.39
  5. Step 5: Solve for x
    x = 198,473,257,136.39/317,876.63
  6. Step 6: Final answer
    x = 624,371.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.